ch. 5.1 - least common multiple
TRANSCRIPT
Agenda Monday, Nov. 16
Homework 5 p. 239 # 10 - 17, 22 - 30, 49 - 52
Please check to see if you have any missing assignments -
turn them in or come for working lunch
Daily Scribe? -
Least Common Multiple
Introduction of Thanksgiving project.
What is the least common multiple?
The least common multiple of two numbers is the smallest number (not including 0 or 1) that is a multiple of both.
Example: What is the LCM of 3 and 4?
Multiples of 3: 3, 6, 9, 12, 15, 18... Multiples of 4: 4, 8, 12, 16, 20...
The least common multiple of 3 and 4 is 12.
Find the LCM of the following number pairs.
Multiples of 4:
Multiples of 5:
The LCM of 4 and 5 is:
Multiples of 6:
Multiples of 8:
The LCM of 6 and 8 is:
Multiples of 10:
Multiples of 30:
The LCM of 10 and 30 is:
Multiples of 8:
Multiples of 24:
The LCM of 8 and 24 is:
Find the LCM of the following number pairs.
You can also find the LCM using prime factorization.
2 12 2 8 Write the prime factorization 2 6 2 4 3 2
Use the GREATEST power of 22 * 3 23 each factor.
23 * 3 8 * 3 = 24 Write the Least Common Multiple
as a product.
Use a venn diagram.
1215
3 * 52 * 2 * 3
523
2
2 * 2 * 3 * 5
22 * 3 * 5
4 * 3 * 5 = 60
Use the venn diagram just like for GCF. But multiply all the prime factors for the LCM
Find the LCM of the following number pairs using the venn diagram method.
8 and 15 15 and 36
Find the LCM of the following number pairs using the venn diagram method.
32 and 12 24 and 10
Now for variable expressions
12abc15ab2
3 * 5 * a * b * b 2 * 2 * 3 * a * b * c
523
2
2 * 2 * 3 * 5 * a * b * b * c
22 * 3 * 5ab2c 4 * 3 * 5ab2c
60ab2c
a
bb c
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